Yeah, things would definitely work out once she recovers her memories. That said, while I don't mind if it happens all at once, I'd prefer if author made it happen gradually (which seems to be the case!), and not just episodic. Memories triggered by events that slowly makes her mix the old with the new, making her new² (past+present) self love him.
it would be even better if in her past life she did, in fact, hate his guts. Either because of him being angry and yelling all the time (all the flashbacks so far) or for the arranged marriage part, which may imply some kind of drama, though it has yet to appear. Their families haven't really been mentioned, and I think author will this topic to the princess/servant couple, so it could be other kind of circumstances.
Anyway, this is my favorite couple and the reason I'll be following this series, and I do have a lot of expectations for their happiness! Thank you for the translation!
P.S.: did all the couples have an early death? Yahiro is the only that mentioned being devoted to earn good karma and meet Hina in his next life (right at the beginning), and other than early/young memories and regrets (Ryuu+Uta and Maria+Jou), there has been nothing about them being old...